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Finding the Fourth Proportional to 366,543.12, 505,829.16 and 205,399.44

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Solution

The fourth proportional to 366,543.12, 505,829.16 and 205,399.44 is: 283,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,543.12 : 505,829.16 = 205,399.44 : x
  2. Step 2: Convert to fraction form
    366,543.12/505,829.16 = 205,399.44/x
  3. Step 3: Cross multiply
    366,543.12x = 505,829.16 × 205,399.44
  4. Step 4: Simplify right side
    366,543.12x = 103,897,026,199.67
  5. Step 5: Solve for x
    x = 103,897,026,199.67/366,543.12
  6. Step 6: Final answer
    x = 283,451.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.